Question
The banker's discount of a certain sum of money is Rs. 36 and the true discount on the same sum for the same time is Rs. 30. What is the sum due?
Answer: Option A
$$\eqalign{
& F = \frac{{BD \times TD}}{{(BD - TD)}} \cr
& \,\,\,\,\,\,\, = \frac{{36 \times 30}}{{(36 - 30)}} \cr
& \,\,\,\,\,\,\, = \frac{{36 \times 30}}{6} \cr
& \,\,\,\,\,\,\, = 36 \times 5 \cr
& \,\,\,\,\,\,\, = {\text{ Rs}}{\text{. }}180 \cr} $$
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$$\eqalign{
& F = \frac{{BD \times TD}}{{(BD - TD)}} \cr
& \,\,\,\,\,\,\, = \frac{{36 \times 30}}{{(36 - 30)}} \cr
& \,\,\,\,\,\,\, = \frac{{36 \times 30}}{6} \cr
& \,\,\,\,\,\,\, = 36 \times 5 \cr
& \,\,\,\,\,\,\, = {\text{ Rs}}{\text{. }}180 \cr} $$
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